34306304976 has 80 divisors (see below), whose sum is σ = 98855280000. Its totient is φ = 11390902272.

The previous prime is 34306304941. The next prime is 34306304983. The reversal of 34306304976 is 67940360343.

34306304976 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 630 + 4 + 9 + 7 + 6 = 666.

It is a super-2 number, since 2×34306304976² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43476 + ... + 265523.

It is an arithmetic number, because the mean of its divisors is an integer number (1235691000).

Almost surely, 2^34306304976 is an apocalyptic number.

34306304976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34306304976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49427640000).

34306304976 is an abundant number, since it is smaller than the sum of its proper divisors (64548975024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34306304976 is a wasteful number, since it uses less digits than its factorization.

34306304976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309273 (or 309261 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 34306304976 in words is "thirty-four billion, three hundred six million, three hundred four thousand, nine hundred seventy-six".